What is 0.0824 as a fraction?
0.0824 as a fraction is 824/10000 and its simplest form is 103/1250.
Learn how to find what is 0.0824 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.0824 in its equivalent fraction form. It is required to recognize the decimal point 0.0824 as 824 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0824 as a fraction and how it can be found easily.
Summary: 0.0824 in fraction form
0.0824 can be recognized as 824 ten-thousandths, which can be represented as 824/10000 in fraction form. The simplest form of 824/10000 is 103/1250. Therefore, 0.0824 as a fraction is 103/1250.
Write 0.0824 as a fraction in simplest form.
0.0824 = (?)
0.0824 = 0.0824/1
= (0.0824/1) x (10000/10000) //0.0824 can be recognized as 824 ten-thousandths.
= 824/10000 //824 ten-thousandths is equal to 824/10000 and it can be simplified further.
= (824/8)/(10000/8) //8 is the GCF of 824 and 10000. Divide both 824 and 10000 by the GCF 8 to simplify the fraction.
= 103/1250
0.0824 = 103/1250
0.0824 in its simplest fraction form is 103/1250.
So, what is the fraction of 0.0824?
It is 824/10000 in fraction. To simplify 824/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 824 by 8 gives 103,
and dividing 10000 by 8 gives 1250. Thus, 824/10000 simplifies to 103/1250
Refer to the step by step work further to learn how to find what is 0.0824 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.0824
What to be found:
What is 0.0824 as a fraction in simplest form?
step 2 Write 0.0824 as a simple fraction.
0.0824/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0824/1.
Since the decimal 0.0824 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0824/1 to make numerator as a whole number.
(0.0824 x 10000)/(1 x 10000) = 824/10000
step 4
824 ten-thousandths is the fraction form of 0.0824, however, it can be reduced further. To simplify 824/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 824 and 10000 cancel each other.
824/10000 = (8 x 103)/(8 x 1250)
= 103/1250
824/10000 = 103/1250
Hence,
0.0824 as a fraction is 103/1250.
Converting decimals like 0.0824 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0824 to fraction form. In this case, 0.0824 can be recognized as 824 ten-thousandths. So, the fraction form of 0.0824 is 824/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 824/10000 in its simplest form.